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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR055+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:13:13 PM UTC 2026

% Result   : Theorem 0.12s 0.43s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (   8 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   19 (  12   ~;   5   |;   1   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f201,axiom,
    individual(c_xskijump_thegame),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f289,axiom,
    ! [OBJ] :
      ~ ( individual(OBJ)
        & collection(OBJ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1119,axiom,
    ! [INS,ARG2] :
      ( disjointwith(INS,ARG2)
     => collection(INS) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1132,conjecture,
    ~ disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1133,negated_conjecture,
    ~ ~ disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    inference(negated_conjecture,[status(cth)],[f1132]) ).

fof(f1427,plain,
    individual(c_xskijump_thegame),
    inference(cnf_transformation,[status(thm)],[f201]) ).

fof(f1554,plain,
    ! [OBJ] :
      ( ~ individual(OBJ)
      | ~ collection(OBJ) ),
    inference(pre_NNF_transformation,[status(thm)],[f289]) ).

fof(f1555,plain,
    ! [X0] :
      ( ~ individual(X0)
      | ~ collection(X0) ),
    inference(cnf_transformation,[status(thm)],[f1554]) ).

fof(f3170,plain,
    ! [INS,ARG2] :
      ( collection(INS)
      | ~ disjointwith(INS,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f1119]) ).

fof(f3171,plain,
    ! [INS] :
      ( collection(INS)
      | ! [ARG2] : ~ disjointwith(INS,ARG2) ),
    inference(miniscoping,[status(thm)],[f3170]) ).

fof(f3172,plain,
    ! [X0,X1] :
      ( collection(X0)
      | ~ disjointwith(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f3171]) ).

fof(f3204,plain,
    disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    inference(cnf_transformation,[status(thm)],[f1133]) ).

fof(f3207,plain,
    collection(c_xskijump_thegame),
    inference(resolution,[status(thm)],[f3172,f3204]) ).

fof(f3584,plain,
    ~ collection(c_xskijump_thegame),
    inference(resolution,[status(thm)],[f1555,f1427]) ).

fof(f3585,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f3584,f3207]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR055+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n019.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Mon Sep 21 14:37:50 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.12/0.39  % Drodi V4.1.1
% 0.12/0.43  % Refutation found
% 0.12/0.43  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.43  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.46  % Elapsed time: 0.089757 seconds
% 0.12/0.46  % CPU time: 0.239684 seconds
% 0.12/0.46  % Total memory used: 80.602 MB
% 0.12/0.46  % Net memory used: 80.511 MB
%------------------------------------------------------------------------------